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      "#Chapter 4\n",
      "______\n",
      "\n",
      "##The greatest theorem never told\n",
      "\n",
      "\n",
      "This chapter focuses on an idea that is always bouncing around our minds, but is rarely made explicit outside books devoted to statistics. In fact, we've been using this simple idea in every example thus far. "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###The Law of Large Numbers\n",
      "\n",
      "Let $Z_i$ be $N$ independent samples from some probability distribution. According to *the Law of Large numbers*,  so long as the expected value $E[Z]$ is finite, the following holds,\n",
      "\n",
      "$$\\frac{1}{N} \\sum_{i=1}^N Z_i \\rightarrow E[ Z ],  \\;\\;\\; N \\rightarrow \\infty.$$\n",
      "\n",
      "In words:\n",
      "\n",
      ">   The average of a sequence of random variables from the same distribution converges to the expected value of that distribution.\n",
      "\n",
      "This may seem like a boring result, but it will be the most useful tool you use."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Intuition \n",
      "\n",
      "If the above Law is somewhat surprising,  it can be made more clear by examining a simple example. \n",
      "\n",
      "Consider a random variable $Z$ that can take only two values, $c_1$ and $c_2$. Suppose we have a large number of samples of $Z$, denoting a specific sample $Z_i$. The Law says that we can approximate the expected value of $Z$ by averaging over all samples. Consider the average:\n",
      "\n",
      "\n",
      "$$ \\frac{1}{N} \\sum_{i=1}^N \\;Z_i $$\n",
      "\n",
      "\n",
      "By construction, $Z_i$ can only take on $c_1$ or $c_2$, hence we can partition the sum over these two values:\n",
      "\n",
      "\\begin{align}\n",
      "\\frac{1}{N} \\sum_{i=1}^N \\;Z_i\n",
      "& =\\frac{1}{N} \\big(  \\sum_{ Z_i = c_1}c_1 + \\sum_{Z_i=c_2}c_2 \\big) \\\\\\\\[5pt]\n",
      "& = c_1 \\sum_{ Z_i = c_1}\\frac{1}{N} + c_2 \\sum_{ Z_i = c_2}\\frac{1}{N} \\\\\\\\[5pt]\n",
      "& = c_1 \\times \\text{ (approximate frequency of $c_1$) } \\\\\\\\ \n",
      "& \\;\\;\\;\\;\\;\\;\\;\\;\\; + c_2 \\times \\text{ (approximate frequency of $c_2$) } \\\\\\\\[5pt]\n",
      "& \\approx c_1 \\times P(Z = c_1) + c_2 \\times P(Z = c_2 ) \\\\\\\\[5pt]\n",
      "& = E[Z]\n",
      "\\end{align}\n",
      "\n",
      "\n",
      "Equality holds in the limit, but we can get closer and closer by using more and more samples in the average. This Law holds for almost *any distribution*, minus some important cases we will encounter later.\n",
      "\n",
      "##### Example\n",
      "____\n",
      "\n",
      "\n",
      "Below is a diagram of the Law of Large numbers in action for three different sequences of Poisson random variables. \n",
      "\n",
      " We sample `sample_size = 100000` Poisson random variables with parameter $\\lambda = 4.5$. (Recall the expected value of a Poisson random variable is equal to it's parameter.) We calculate the average for the first $n$ samples, for $n=1$ to `sample_size`. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import numpy as np\n",
      "from IPython.core.pylabtools import figsize\n",
      "import matplotlib.pyplot as plt\n",
      "\n",
      "figsize(12.5, 5)\n",
      "import pymc as pm\n",
      "\n",
      "sample_size = 100000\n",
      "expected_value = lambda_ = 4.5\n",
      "poi = pm.rpoisson\n",
      "N_samples = range(1, sample_size, 100)\n",
      "\n",
      "for k in range(3):\n",
      "\n",
      "    samples = poi(lambda_, size=sample_size)\n",
      "\n",
      "    partial_average = [samples[:i].mean() for i in N_samples]\n",
      "\n",
      "    plt.plot(N_samples, partial_average, lw=1.5, label=\"average \\\n",
      "of  $n$ samples; seq. %d\" % k)\n",
      "\n",
      "\n",
      "plt.plot(N_samples, expected_value * np.ones_like(partial_average),\n",
      "         ls=\"--\", label=\"true expected value\", c=\"k\")\n",
      "\n",
      "plt.ylim(4.35, 4.65)\n",
      "plt.title(\"Convergence of the average of \\n random variables to its \\\n",
      "expected value\")\n",
      "plt.ylabel(\"average of $n$ samples\")\n",
      "plt.xlabel(\"# of samples, $n$\")\n",
      "plt.legend();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
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G/g3ubsQYq1J5N4ZNmzbhzTffhLm5OT799FMAQGhoKFxcXGBmZoaWLVti1qxZKC4uFteN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\n7t1b48ePJy9wEx8fr+PHj+vrr7+WMUYfffSREhISy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       "text": [
        "<matplotlib.figure.Figure at 0x106ab0350>"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Looking at the above plot, it is clear that when the sample size is small, there is greater variation in the average (compare how *jagged and jumpy* the average is initially, then *smooths* out). All three paths *approach* the value 4.5, but just flirt with it as $N$ gets large. Mathematicians and statistician have another name for *flirting*: convergence. \n",
      "\n",
      "Another very relevant question we can ask is *how quickly am I converging to the expected value?* Let's plot something new. For a specific $N$, let's do the above trials thousands of times and compute how far away we are from the true expected value, on average. But wait &mdash; *compute on average*? This is simply the law of large numbers again! For example, we are interested in, for a specific $N$, the quantity:\n",
      "\n",
      "$$D(N) = \\sqrt{ \\;E\\left[\\;\\; \\left( \\frac{1}{N}\\sum_{i=1}^NZ_i  - 4.5 \\;\\right)^2 \\;\\;\\right] \\;\\;}$$\n",
      "\n",
      "The above formulae is interpretable as a distance away from the true value (on average), for some $N$. (We take the square root so the dimensions of the above quantity and our random variables are the same). As the above is an expected value, it can be approximated using the law of large numbers: instead of averaging $Z_i$, we calculate the following multiple times and average them:\n",
      "\n",
      "$$ Y_k = \\left( \\;\\frac{1}{N}\\sum_{i=1}^NZ_i  - 4.5 \\; \\right)^2 $$\n",
      "\n",
      "By computing the above many, $N_y$, times (remember, it is random), and averaging them:\n",
      "\n",
      "$$ \\frac{1}{N_Y} \\sum_{k=1}^{N_Y} Y_k \\rightarrow E[ Y_k ] = E\\;\\left[\\;\\; \\left( \\frac{1}{N}\\sum_{i=1}^NZ_i  - 4.5 \\;\\right)^2 \\right]$$\n",
      "\n",
      "Finally, taking the square root:\n",
      "\n",
      "$$ \\sqrt{\\frac{1}{N_Y} \\sum_{k=1}^{N_Y} Y_k} \\approx D(N) $$ "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(12.5, 4)\n",
      "\n",
      "N_Y = 250  # use this many to approximate D(N)\n",
      "N_array = np.arange(1000, 50000, 2500)  # use this many samples in the approx. to the variance.\n",
      "D_N_results = np.zeros(len(N_array))\n",
      "\n",
      "lambda_ = 4.5\n",
      "expected_value = lambda_  # for X ~ Poi(lambda) , E[ X ] = lambda\n",
      "\n",
      "\n",
      "def D_N(n):\n",
      "    \"\"\"\n",
      "    This function approx. D_n, the average variance of using n samples.\n",
      "    \"\"\"\n",
      "    Z = poi(lambda_, size=(n, N_Y))\n",
      "    average_Z = Z.mean(axis=0)\n",
      "    return np.sqrt(((average_Z - expected_value) ** 2).mean())\n",
      "\n",
      "\n",
      "for i, n in enumerate(N_array):\n",
      "    D_N_results[i] = D_N(n)\n",
      "\n",
      "\n",
      "plt.xlabel(\"$N$\")\n",
      "plt.ylabel(\"expected squared-distance from true value\")\n",
      "plt.plot(N_array, D_N_results, lw=3,\n",
      "         label=\"expected distance between\\n\\\n",
      "expected value and \\naverage of $N$ random variables.\")\n",
      "plt.plot(N_array, np.sqrt(expected_value) / np.sqrt(N_array), lw=2, ls=\"--\",\n",
      "         label=r\"$\\frac{\\sqrt{\\lambda}}{\\sqrt{N}}$\")\n",
      "plt.legend()\n",
      "plt.title(\"How 'fast' is the sample average converging? \");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kSZIkSXrj5ObmEhAQQIMGDTh//jxbtmxh8eLF7Nu3DzMzMxYsWEBwcDC3bt1i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       "text": [
        "<matplotlib.figure.Figure at 0x1027f87d0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As expected, the expected distance between our sample average and the actual expected value shrinks as $N$ grows large. But also notice that the *rate* of convergence decreases, that is, we need only 10 000 additional samples to move from 0.020 to 0.015, a difference of 0.005, but *20 000* more samples to again decrease from 0.015  to 0.010, again only a 0.005 decrease.\n",
      "\n",
      "\n",
      "It turns out we can measure this rate of convergence. Above I have plotted a second line, the function $\\sqrt{\\lambda}/\\sqrt{N}$. This was not chosen arbitrarily. In most cases, given a sequence of random variable distributed like $Z$, the rate of converge to $E[Z]$ of the Law of Large Numbers is \n",
      "\n",
      "$$ \\frac{ \\sqrt{ \\; Var(Z) \\; } }{\\sqrt{N} }$$\n",
      "\n",
      "This is useful to know: for a given large $N$, we know (on average) how far away we are from the estimate. On the other hand, in a Bayesian setting, this can seem like a useless result: Bayesian analysis is OK with uncertainty so what's the *statistical* point of adding extra precise digits? Though drawing samples can be so computationally cheap that having a *larger* $N$ is fine too. \n",
      "\n",
      "### How do we compute $Var(Z)$ though?\n",
      "\n",
      "The variance is simply another expected value that can be approximated! Consider the following, once we have the expected value (by using the Law of Large Numbers to estimate it, denote it $\\mu$), we can estimate the variance:\n",
      "\n",
      "$$ \\frac{1}{N}\\sum_{i=1}^N \\;(Z_i - \\mu)^2 \\rightarrow E[ \\;( Z - \\mu)^2 \\;] = Var( Z )$$\n",
      "\n",
      "### Expected values and probabilities \n",
      "There is an even less explicit relationship between expected value and estimating probabilities. Define the *indicator function*\n",
      "\n",
      "$$\\mathbb{1}_A(x) = \n",
      "\\begin{cases} 1 &  x \\in A \\\\\\\\\n",
      "              0 &  else\n",
      "\\end{cases}\n",
      "$$\n",
      "Then, by the law of large numbers, if we have many samples $X_i$, we can estimate the probability of an event $A$, denoted $P(A)$, by:\n",
      "\n",
      "$$ \\frac{1}{N} \\sum_{i=1}^N \\mathbb{1}_A(X_i) \\rightarrow E[\\mathbb{1}_A(X)] =  P(A) $$\n",
      "\n",
      "Again, this is fairly obvious after a moments thought: the indicator function is only 1 if the event occurs, so we are summing only the times the event occurs and dividing by the total number of trials  (consider how we usually approximate probabilities using frequencies). For example, suppose we wish to estimate the probability that a $Z \\sim Exp(.5)$ is greater than 10, and we have many samples from a $Exp(.5)$ distribution. \n",
      "\n",
      "\n",
      "$$ P( Z > 10 ) =  \\sum_{i=1}^N \\mathbb{1}_{z > 10 }(Z_i) $$\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pymc as pm\n",
      "N = 10000\n",
      "print np.mean([pm.rexponential(0.5) > 10 for i in range(N)])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.0069\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### What does this all have to do with Bayesian statistics? \n",
      "\n",
      "\n",
      "*Point estimates*, to be introduced in the next chapter, in Bayesian inference are computed using expected values. In more analytical Bayesian inference, we would have been required to evaluate complicated expected values represented as multi-dimensional integrals. No longer. If we can sample from the posterior distribution directly, we simply need to evaluate averages. Much easier. If accuracy is a priority, plots like the ones above show how fast you are converging. And if further accuracy is  desired, just take more samples from the posterior. \n",
      "\n",
      "When is enough enough? When can you stop drawing samples from the posterior? That is the practitioners decision, and also dependent on the variance of the samples (recall from above a high variance means the average will converge slower). \n",
      "\n",
      "We also should understand when the Law of Large Numbers fails. As the name implies, and comparing the graphs above for small $N$, the Law is only true for large sample sizes. Without this, the asymptotic result is not reliable. Knowing in what situations the Law fails can give us *confidence in how unconfident we should be*. The next section deals with this issue."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## The Disorder of Small Numbers\n",
      "\n",
      "The Law of Large Numbers is only valid as $N$ gets *infinitely* large: never truly attainable.  While the law is a powerful tool, it is foolhardy to apply it liberally. Our next example illustrates this.\n",
      "\n",
      "\n",
      "##### Example: Aggregated geographic data\n",
      "\n",
      "\n",
      "Often data comes in aggregated form. For instance, data may be grouped by state, county, or city level. Of course, the population numbers vary per geographic area. If the data is an average of some characteristic of each the geographic areas, we must be conscious of the Law of Large Numbers and how it can *fail* for areas with small populations.\n",
      "\n",
      "We will observe this on a toy dataset. Suppose there are five thousand counties in our dataset. Furthermore,  population number in each state are uniformly distributed between 100 and 1500. The way the population numbers are generated is irrelevant to the discussion, so we do not justify this. We are interested in measuring the average height of individuals per county. Unbeknownst to us, height does **not** vary across county, and each individual, regardless of the county he or she is currently living in, has the same distribution of what their height may be:\n",
      "\n",
      "$$ \\text{height} \\sim \\text{Normal}(150, 15 ) $$\n",
      "\n",
      "We aggregate the individuals at the county level, so we only have data for the *average in the county*. What might our dataset look like?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(12.5, 4)\n",
      "std_height = 15\n",
      "mean_height = 150\n",
      "\n",
      "n_counties = 5000\n",
      "pop_generator = pm.rdiscrete_uniform\n",
      "norm = pm.rnormal\n",
      "\n",
      "# generate some artificial population numbers\n",
      "population = pop_generator(100, 1500, size=n_counties)\n",
      "\n",
      "average_across_county = np.zeros(n_counties)\n",
      "for i in range(n_counties):\n",
      "    # generate some individuals and take the mean\n",
      "    average_across_county[i] = norm(mean_height, 1. / std_height ** 2,\n",
      "                                    size=population[i]).mean()\n",
      "\n",
      "# located the counties with the apparently most extreme average heights.\n",
      "i_min = np.argmin(average_across_county)\n",
      "i_max = np.argmax(average_across_county)\n",
      "\n",
      "# plot population size vs. recorded average\n",
      "plt.scatter(population, average_across_county, alpha=0.5, c=\"#7A68A6\")\n",
      "plt.scatter([population[i_min], population[i_max]],\n",
      "            [average_across_county[i_min], average_across_county[i_max]],\n",
      "            s=60, marker=\"o\", facecolors=\"none\",\n",
      "            edgecolors=\"#A60628\", linewidths=1.5,\n",
      "            label=\"extreme heights\")\n",
      "\n",
      "plt.xlim(100, 1500)\n",
      "plt.title(\"Average height vs. County Population\")\n",
      "plt.xlabel(\"County Population\")\n",
      "plt.ylabel(\"Average height in county\")\n",
      "plt.plot([100, 1500], [150, 150], color=\"k\", label=\"true expected \\\n",
      "height\", ls=\"--\")\n",
      "plt.legend(scatterpoints=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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QarU4cuQIKioqUFlZiXnz5mHVqlXYsGEDcnNzsW3bNrvzP/74Y6jVamRlZWHT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htjmO9PmT+0mp0KDz/fxHVFY+76803f6tTqJZUn315iVQ1UVeH+ZzdlYZWqwcMvt4gCkRVx9nr2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FvaPbtIZRFrIXKS6c//5jCYNWfcj2wS3u3nd5+um3Eome//l2W2MWVzLcuf8yI2fK5cqb582f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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106af7910>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What do we observe? *Without accounting for population sizes* we run the risk of making an enormous inference error: if we ignored population size, we would say that the county with the shortest and tallest individuals have been correctly circled. But this inference is wrong for the following reason. These two counties do *not* necessarily have the most extreme heights. The error results from the calculated average of smaller populations not being a good reflection of the true expected value of the population (which in truth should be $\\mu =150$). The sample size/population size/$N$, whatever you wish to call it,  is simply too small to invoke the Law of Large Numbers effectively. \n",
      "\n",
      "We provide more damning evidence against this inference. Recall the population numbers were uniformly distributed over 100 to 1500. Our intuition should tell us that the counties with the most extreme population heights should also be uniformly spread over 100 to 1500, and certainly independent of the county's population. Not so. Below are the population sizes of the counties with the most extreme heights."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print \"Population sizes of 10 'shortest' counties: \"\n",
      "print population[np.argsort(average_across_county)[:10]]\n",
      "print\n",
      "print \"Population sizes of 10 'tallest' counties: \"\n",
      "print population[np.argsort(-average_across_county)[:10]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Population sizes of 10 'shortest' counties: \n",
        "[111 103 102 109 110 257 164 144 169 260]\n",
        "\n",
        "Population sizes of 10 'tallest' counties: \n",
        "[252 107 162 141 141 256 144 112 210 342]\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Not at all uniform over 100 to 1500. This is an absolute failure of the Law of Large Numbers. \n",
      "\n",
      "##### Example:  Kaggle's *U.S. Census Return Rate Challenge*\n",
      "\n",
      "Below is data from the 2010 US census, which partitions populations beyond counties to the level of block groups (which are aggregates of city blocks or equivalents). The dataset is from a Kaggle machine learning competition some colleagues and I participated in. The objective was to predict the census letter mail-back rate of a group block, measured between 0 and 100, using census variables (median income, number of females in the block-group, number of trailer parks, average number of children etc.). Below we plot the census mail-back rate versus block group population:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(12.5, 6.5)\n",
      "data = np.genfromtxt(\"./data/census_data.csv\", skip_header=1,\n",
      "                     delimiter=\",\")\n",
      "plt.scatter(data[:, 1], data[:, 0], alpha=0.5, c=\"#7A68A6\")\n",
      "plt.title(\"Census mail-back rate vs Population\")\n",
      "plt.ylabel(\"Mail-back rate\")\n",
      "plt.xlabel(\"population of block-group\")\n",
      "plt.xlim(-100, 15e3)\n",
      "plt.ylim(-5, 105)\n",
      "\n",
      "i_min = np.argmin(data[:, 0])\n",
      "i_max = np.argmax(data[:, 0])\n",
      "\n",
      "plt.scatter([data[i_min, 1], data[i_max, 1]],\n",
      "            [data[i_min, 0], data[i_max, 0]],\n",
      "            s=60, marker=\"o\", facecolors=\"none\",\n",
      "            edgecolors=\"#A60628\", linewidths=1.5,\n",
      "            label=\"most extreme points\")\n",
      "\n",
      "plt.legend(scatterpoints=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CwsIhMQiHswOkXV1drFq1ape2bv8lYHdtqaysJJlM4na76e/vHzGew9neVwUw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       "text": [
        "<matplotlib.figure.Figure at 0x106d9fa90>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The above is a classic phenomenon in statistics. I say *classic* referring to the \"shape\" of the scatter plot above. It follows a classic triangular form, that tightens as we increase the sample size (as the Law of Large Numbers becomes more exact). \n",
      "\n",
      "I am perhaps overstressing the point and maybe I should have titled the book *\"You don't have big data problems!\"*, but here again is an example of the trouble with *small datasets*, not big ones. Simply, small datasets cannot be processed using the Law of Large Numbers. Compare with applying the Law without hassle to big datasets (ex. big data). I mentioned earlier that paradoxically big data prediction problems are solved by relatively simple algorithms. The paradox is partially resolved by understanding that the Law of Large Numbers creates solutions that are *stable*, i.e. adding or subtracting a few data points will not affect the solution much. On the other hand, adding or removing data points to a small dataset can create very different results. \n",
      "\n",
      "For further reading on the hidden dangers of the Law of Large Numbers, I would highly recommend the excellent manuscript [The Most Dangerous Equation](http://nsm.uh.edu/~dgraur/niv/TheMostDangerousEquation.pdf). "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "##### Example: How to order Reddit comments\n",
      "\n",
      "You may have disagreed with the original statement that the Law of Large numbers is known to everyone, but only implicitly in our subconscious decision making. Consider ratings on online products: how often do you trust an average 5-star rating if there is only 1 reviewer? 2 reviewers? 3 reviewers? We implicitly understand that with such few reviewers that the average rating is **not** a good reflection of the true value of the product.\n",
      "\n",
      "This has created flaws in how we sort items, and more generally, how we compare items. Many people have realized that sorting online search results by their rating, whether the objects be books, videos, or online comments, return poor results. Often the seemingly top videos or comments have perfect ratings only from a few enthusiastic fans, and truly more quality videos or comments are hidden in later pages with *falsely-substandard* ratings of around 4.8. How can we correct this?\n",
      "\n",
      "Consider the popular site Reddit (I purposefully did not link to the website as you would never come back). The site hosts links to stories or images, and a very popular part of the site are the comments associated with each link. Redditors can vote up or down on each comment (called upvotes and downvotes). Reddit, by default, will sort comments by Top, that is, the best comments.\n",
      "\n",
      "<img src=\"http://i.imgur.com/QjtUF3x.png\" />\n",
      "\n",
      "\n",
      "How would you determine which comments are the best? There are a number of ways to achieve this:\n",
      "\n",
      "1. *Popularity*: A comment is considered good if it has many upvotes. A problem with this model is that a comment with hundreds of upvotes, but thousands of downvotes. While being very *popular*, the comment is likely more controversial than best.\n",
      "2. *Difference*: Using the *difference* of upvotes and downvotes. This solves the above problem, but fails when we consider the temporal nature of comments. Comments can be posted many hours after the original link submission. The difference method will bias the *Top* comments to be the oldest comments, which have accumulated more upvotes than newer comments, but are not necessarily the best.\n",
      "3. *Time adjusted*:  Consider using Difference divided by the age of the comment. This creates a *rate*, something like *difference per second*, or *per minute*. An immediate counter example is, if we use per second, a 1 second old comment with 1 upvote would be better than a 100 second old comment with 99 upvotes. One can avoid this by only considering at least t second old comments. But what is a good t value? Does this mean no comment younger than t is good? We end up comparing unstable quantities with stable quantities (young vs. old comments).\n",
      "3. *Ratio*: Rank comments by the ratio of upvotes to total number of votes (upvotes plus downvotes). This solves the temporal issue, such that new comments who score well can be considered Top just as likely as older comments, provided they have many upvotes to total votes. The problem here is that a comment with a single upvote (ratio = 1.0) will beat a comment with 999 upvotes and 1 downvote (ratio = 0.999), but clearly the latter comment is *more likely* to be better.\n",
      "\n",
      "I used the phrase *more likely* for good reason. It is possible that the former comment, with a single upvote, is in fact a better comment than the later with 999 upvotes. The hesitation to agree with this is because we have not seen the other 999 potential votes the former comment might get. Perhaps it will achieve an additional 999 upvotes and 0 downvotes and be considered better than the latter, though not likely.\n",
      "\n",
      "What we really want is an estimate of the *true upvote ratio*. Note that the true upvote ratio is not the same as the observed upvote ratio: the true upvote ratio is hidden, and we only observe upvotes vs. downvotes (one can think of the true upvote ratio as \"what is the underlying probability someone gives this comment a upvote, versus a downvote\"). So the 999 upvote/1 downvote comment probably has a true upvote ratio close to 1, which we can assert with confidence thanks to the Law of Large Numbers, but on the other hand we are much less certain about the true upvote ratio of the comment with only a single upvote. Sounds like a Bayesian problem to me.\n",
      "\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "One way to determine a prior on the upvote ratio is to look at the historical distribution of upvote ratios. This can be accomplished by scraping Reddit's comments and determining a distribution. There are a few problems with this technique though:\n",
      "\n",
      "1. Skewed data:  The vast majority of comments have very few votes, hence there will be many comments with ratios near the extremes (see the \"triangular plot\" in the above Kaggle dataset), effectively skewing our distribution to the extremes. One could try to only use comments with votes greater than some threshold. Again, problems are encountered. There is a tradeoff between number of comments available to use and a higher threshold with associated ratio precision. \n",
      "2. Biased data: Reddit is composed of different subpages, called subreddits. Two examples are *r/aww*, which posts pics of cute animals, and *r/politics*. It is very likely that the user behaviour towards comments of these two subreddits are very different: visitors are likely friendly and affectionate in the former, and would therefore upvote comments more, compared to the latter, where comments are likely to be controversial and disagreed upon. Therefore not all comments are the same. \n",
      "\n",
      "\n",
      "In light of these, I think it is better to use a `Uniform` prior.\n",
      "\n",
      "\n",
      "With our prior in place, we can find the posterior of the true upvote ratio. The Python script `comments_for_top_reddit_pic.py` will scrape the comments from the current top picture on Reddit. Below is the picture, and some comments:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.core.display import Image\n",
      "# adding a number to the end of the %run call with get the ith top photo.\n",
      "%run top_pic_comments.py 2\n",
      "\n",
      "Image(top_post_url)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Title of submission: \n",
        "Frozen mining truck\n",
        "http://i.imgur.com/OYsHKlH.jpg\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "<IPython.core.display.Image at 0x1077eb850>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\"\"\"\n",
      "contents: an array of the text from all comments on the pic\n",
      "votes: a 2d numpy array of upvotes, downvotes for each comment.\n",
      "\"\"\"\n",
      "n_comments = len(contents)\n",
      "comments = np.random.randint(n_comments, size=4)\n",
      "print \"Some Comments (out of %d total) \\n-----------\" % n_comments\n",
      "for i in comments:\n",
      "    print '\"' + contents[i] + '\"'\n",
      "    print\"upvotes/downvotes: \", votes[i, :]\n",
      "    print"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Some Comments (out of 77 total) \n",
        "-----------\n",
        "\"Do these trucks remind anyone else of Sly Cooper?\"\n",
        "upvotes/downvotes:  [2 0]\n",
        "\n",
        "\"Dammit Elsa I told you not to drink and drive.\"\n",
        "upvotes/downvotes:  [7 0]\n",
        "\n",
        "\"I've seen this picture before in a Duratray (the dump box supplier) brochure. If I recall it was either at Ekati or Diavik... In which case the truck could be either a Komatsu or a CAT... anyone care to comment?\"\n",
        "upvotes/downvotes:  [2 0]\n",
        "\n",
        "\"Actually it does not look frozen just covered in a layer of wind packed snow.\"\n",
        "upvotes/downvotes:  [120  18]\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      " For a given true upvote ratio $p$ and $N$ votes, the number of upvotes will look like a Binomial random variable with parameters $p$ and $N$. (This is because of the equivalence between upvote ratio and probability of upvoting versus downvoting, out of $N$ possible votes/trials). We create a function that performs Bayesian inference on $p$, for a particular comment's upvote/downvote pair."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pymc as pm\n",
      "\n",
      "\n",
      "def posterior_upvote_ratio(upvotes, downvotes, samples=20000):\n",
      "    \"\"\"\n",
      "    This function accepts the number of upvotes and downvotes a particular comment received, \n",
      "    and the number of posterior samples to return to the user. Assumes a uniform prior.\n",
      "    \"\"\"\n",
      "    N = upvotes + downvotes\n",
      "    upvote_ratio = pm.Uniform(\"upvote_ratio\", 0, 1)\n",
      "    observations = pm.Binomial(\"obs\", N, upvote_ratio, value=upvotes, observed=True)\n",
      "    # do the fitting; first do a MAP as it is cheap and useful.\n",
      "    map_ = pm.MAP([upvote_ratio, observations]).fit()\n",
      "    mcmc = pm.MCMC([upvote_ratio, observations])\n",
      "    mcmc.sample(samples, samples / 4)\n",
      "    return mcmc.trace(\"upvote_ratio\")[:]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Below are the resulting posterior distributions."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(11., 8)\n",
      "posteriors = []\n",
      "colours = [\"#348ABD\", \"#A60628\", \"#7A68A6\", \"#467821\", \"#CF4457\"]\n",
      "for i in range(len(comments)):\n",
      "    j = comments[i]\n",
      "    posteriors.append(posterior_upvote_ratio(votes[j, 0], votes[j, 1]))\n",
      "    plt.hist(posteriors[i], bins=18, normed=True, alpha=.9,\n",
      "             histtype=\"step\", color=colours[i % 5], lw=3,\n",
      "             label='(%d up:%d down)\\n%s...' % (votes[j, 0], votes[j, 1], contents[j][:50]))\n",
      "    plt.hist(posteriors[i], bins=18, normed=True, alpha=.2,\n",
      "             histtype=\"stepfilled\", color=colours[i], lw=3, )\n",
      "\n",
      "plt.legend(loc=\"upper left\")\n",
      "plt.xlim(0, 1)\n",
      "plt.title(\"Posterior distributions of upvote ratios on different comments\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " \r",
        "[****************100%******************]  20000 of 20000 complete"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kZGVloXfv3gDqLlyKiorv/gH/X1vm1ZCVlRVycnKwdetWyMrK4ttvv0Xfvn3x8uXLdqsT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\nx4pSd7Xmp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7u7G3v27ClrX6m0zORkli49F7Pw9mOPPYY//vGPAIBjx46hubkZy5cvt3Ja\nqoBiYt3f348vfvGLeP7557Fp06YK9ZSsKCbOly5dQm9vL3p7e7F//3786le/YpJYg4qJ9eOPP44j\nR45A13XEYjEcP34c27Ztq1CPyaxiYt3Z2YnXX38dADA8PIzu7m5s2LChEt2lEjKTk1mqKM638Pav\nf/1rAMC3vvUtPPLII/jnP/+JTZs2IRAI4Pe//72VU1KFFBPrn/zkJwiFQtfHrrlcLpw4caKS3aZF\nKibOVB+KiXVnZycefvhh7Ny5E4qi4KmnnmKiWIOKifUPfvADfO1rX0NXVxcMw8DPf/5ztLa2Vrjn\ntFhf/vKX8eabb2JsbAzt7e348Y9/jHQ6DcB8TsYFt4mIiIgoL8sLbhMRERFRfWKiSERERER5MVEk\nIiIioryYKBIRERFRXkwUiYiIiCgvJopERERElBcTRSIiIiLK6/8DvJlJe8sNRr4AAAAASUVORK5C\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106ad0910>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Some distributions are very tight, others have very long tails (relatively speaking), expressing our uncertainty with what the true upvote ratio might be.\n",
      "\n",
      "### Sorting!\n",
      "\n",
      "We have been ignoring the goal of this exercise: how do we sort the comments from *best to worst*? Of course, we cannot sort distributions, we must sort scalar numbers. There are many ways to distill a distribution down to a scalar: expressing the distribution through its expected value, or mean, is one way. Choosing the mean is a bad choice though. This is because the mean does not take into account the uncertainty of distributions.\n",
      "\n",
      "I  suggest using the *95% least plausible value*, defined as the value such that there is only a 5% chance the true parameter is lower (think of the lower bound on the 95% credible region). Below are the posterior distributions with the 95% least-plausible value plotted:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "N = posteriors[0].shape[0]\n",
      "lower_limits = []\n",
      "\n",
      "for i in range(len(comments)):\n",
      "    j = comments[i]\n",
      "    plt.hist(posteriors[i], bins=20, normed=True, alpha=.9,\n",
      "             histtype=\"step\", color=colours[i], lw=3,\n",
      "             label='(%d up:%d down)\\n%s...' % (votes[j, 0], votes[j, 1], contents[j][:50]))\n",
      "    plt.hist(posteriors[i], bins=20, normed=True, alpha=.2,\n",
      "             histtype=\"stepfilled\", color=colours[i], lw=3, )\n",
      "    v = np.sort(posteriors[i])[int(0.05 * N)]\n",
      "    # plt.vlines( v, 0, 15 , color = \"k\", alpha = 1, linewidths=3 )\n",
      "    plt.vlines(v, 0, 10, color=colours[i], linestyles=\"--\", linewidths=3)\n",
      "    lower_limits.append(v)\n",
      "    plt.legend(loc=\"upper left\")\n",
      "\n",
      "plt.legend(loc=\"upper left\")\n",
      "plt.title(\"Posterior distributions of upvote ratios on different comments\");\n",
      "order = np.argsort(-np.array(lower_limits))\n",
      "print order, lower_limits"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[3 1 2 0] [0.36980613417267094, 0.68407203257290061, 0.37551825562169117, 0.8177566237850703]\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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G3759AdR3XIqKim9+gf9Pe+bVGCsrK+Tm5mLr1q2QlZXFV199hf79++P58+cdJhOHwxEx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\nRBkxUSQiIiKijJgoEhEREVFG/x84GJyt77GcKAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1077fa350>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The best comments, according to our procedure, are the comments that are *most-likely* to score a high percentage of upvotes. Visually those are the comments with the 95% least plausible value close to 1.\n",
      "\n",
      "Why is sorting based on this quantity a good idea? By ordering by the 95% least plausible value, we are being the most conservative with what we think is best. That is, even in the worst case scenario, when we have severely overestimated the upvote ratio, we can be sure the best comments are still on top. Under this ordering, we impose the following very natural properties:\n",
      "\n",
      "1. given two comments with the same observed upvote ratio, we will assign the comment with more votes as better (since we are more confident it has a higher ratio).\n",
      "2. given two comments with the same number of votes, we still assign the comment with more upvotes as *better*.\n",
      "\n",
      "### But this is too slow for real-time!\n",
      "\n",
      "I agree, computing the posterior of every comment takes a long time, and by the time you have computed it, likely the data has changed. I delay the mathematics to the appendix, but I suggest using the following formula to compute the lower bound very fast.\n",
      "\n",
      "$$ \\frac{a}{a + b} - 1.65\\sqrt{ \\frac{ab}{ (a+b)^2(a + b +1 ) } }$$\n",
      "\n",
      "where \n",
      "\\begin{align}\n",
      "& a = 1 + u \\\\\\\\\n",
      "& b = 1 + d \\\\\\\\\n",
      "\\end{align}\n",
      "\n",
      "$u$ is the number of upvotes, and $d$ is the number of downvotes. The formula is a shortcut in Bayesian inference, which will be further explained in Chapter 6 when we discuss priors in more detail.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def intervals(u, d):\n",
      "    a = 1. + u\n",
      "    b = 1. + d\n",
      "    mu = a / (a + b)\n",
      "    std_err = 1.65 * np.sqrt((a * b) / ((a + b) ** 2 * (a + b + 1.)))\n",
      "    return (mu, std_err)\n",
      "\n",
      "print \"Approximate lower bounds:\"\n",
      "posterior_mean, std_err = intervals(votes[:, 0], votes[:, 1])\n",
      "lb = posterior_mean - std_err\n",
      "print lb\n",
      "print\n",
      "print \"Top 40 Sorted according to approximate lower bounds:\"\n",
      "print\n",
      "order = np.argsort(-lb)\n",
      "ordered_contents = []\n",
      "for i in order[:40]:\n",
      "    ordered_contents.append(contents[i])\n",
      "    print votes[i, 0], votes[i, 1], contents[i]\n",
      "    print \"-------------\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Approximate lower bounds:\n",
        "[ 0.83167764  0.8041293   0.8166957   0.77375237  0.72491057  0.71705212\n",
        "  0.72440529  0.73158407  0.67107394  0.6931046   0.66235556  0.6530083\n",
        "  0.70806405  0.60091591  0.60091591  0.66278557  0.60091591  0.60091591\n",
        "  0.53055613  0.53055613  0.53055613  0.53055613  0.53055613  0.43047887\n",
        "  0.43047887  0.43047887  0.43047887  0.43047887  0.43047887  0.43047887\n",
        "  0.43047887  0.43047887  0.43047887  0.43047887  0.43047887  0.43047887\n",
        "  0.43047887  0.43047887  0.43047887  0.47201974  0.45074913  0.35873239\n",
        "  0.3726793   0.42069919  0.33529412  0.27775794  0.27775794  0.27775794\n",
        "  0.27775794  0.27775794  0.27775794  0.13104878  0.13104878  0.27775794\n",
        "  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794\n",
        "  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794\n",
        "  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794\n",
        "  0.27775794  0.27775794  0.27775794  0.27775794  0.27775794]\n",
        "\n",
        "Top 40 Sorted according to approximate lower bounds:\n",
        "\n",
        "327 52 Can you imagine having to start that? I've fired up much smaller equipment when its around 0\u00b0 out and its still a pain. It would probably take a crew of guys hours to get that going. Do they have built in heaters to make it easier? You'd think they would just let them idle overnight if they planned on running it the next day though.\n",
        "-------------\n",
        "120 18 Actually it does not look frozen just covered in a layer of wind packed snow.\n",
        "-------------\n",
        "70 10 That's actually just the skin of a mining truck. They shed it periodically like snakes do.\n",
        "-------------\n",
        "76 14 The model just hasn't been textured yet!\n",
        "-------------\n",
        "21 3 No worries, [this](http://imgur.com/KeSYJud) will help.\n",
        "-------------\n",
        "7 0 Dammit Elsa I told you not to drink and drive.\n",
        "-------------\n",
        "88 23 Speaking of mining...[BAGGER 288!](http://www.youtube.com/watch?v=azEvfD4C6ow)\n",
        "-------------\n",
        "112 32 Wonder why OP has 31,944 link karma but so few submissions? /u/zkool may have the worst case of karma addiction I'm aware of.\n",
        "\n",
        "title | points | age | /r/ | comnts\n",
        ":--|:--|:--|:--|:--\n",
        "[Frozen mining truck](http://www.reddit.com/r/pics/comments/1mrqvh/frozen_mining_truck/) | 2507 | 4^mos | pics | 164\n",
        "[Frozen mining truck](http://www.reddit.com/r/pics/comments/1cutbw/frozen_mining_truck/) | 16 | 9^mos | pics | 4\n",
        "[Frozen mining truck](http://www.reddit.com/r/pics/comments/vvcrv/frozen_mining_truck/) | 439 | 1^yr | pics | 21\n",
        "[Meanwhile, in New Zealand...](http://www.reddit.com/r/pics/comments/ir1pl/meanwhile_in_new_zealand/) | 39 | 2^yrs | pics | 12\n",
        "[Blizzardy day](http://www.reddit.com/r/pics/comments/1uiu3y/blizzardy_day/) | 7 | 19^dys | pics | 3\n",
        "\n",
        "*[Source: karmadecay](http://karmadecay.com/r/pics/comments/1w454i/frozen_mining_truck/)*\n",
        "-------------\n",
        "11 1 This is what it's typically like, living in Alberta.\n",
        "-------------\n",
        "6 0 That'd be a haul truck. Looks like a CAT 793. We run em at the site I work at, 240ton carrying capacity. \n",
        "-------------\n",
        "22 5 Taken in Fort Mcmurray Ab!\n",
        "-------------\n",
        "9 1 \"EXCLUSIVE: First look at \"Hoth\" from the upcoming 'Star Wars: Episode VII'\"\n",
        "-------------\n",
        "32 9 This is the most fun thing to drive in GTA V.\n",
        "-------------\n",
        "5 0 it reminds me of the movie \"moon\" with sam rockwell.\n",
        "-------------\n",
        "4 0 Also frozen drill rig.\n",
        "-------------\n",
        "4 0 There's just something awesome about a land vehicle so huge that it warrants a set of stairs on the front of it. I find myself wishing I were licensed to drive it.\n",
        "-------------\n",
        "4 0 Heaters all over the components needing heat:  \n",
        "http://www.arctic-fox.com/fuel-fluid-warming-products/diesel-fired-coolant-pre-heaters\n",
        "-------------\n",
        "4 0 Or it is just an amazing snow sculpture!\n",
        "-------------\n",
        "3 0 I have to tell people about these awful conditions... Too bad I'm Snowden.\n",
        "-------------\n",
        "3 0 Someone let it go\n",
        "-------------\n",
        "3 0 Elsa, you can't do that to people's trucks.\n",
        "-------------\n",
        "3 0 woo Alberta represent\n",
        "-------------\n",
        "3 0 Just thaw it with love\n",
        "-------------\n",
        "6 2 Looks like the drill next to it is an IR DM30 or DM45. Good rigs. \n",
        "-------------\n",
        "4 1 That's the best snow sculpture I've ever seen. \n",
        "-------------\n",
        "2 0 [These](http://i.imgur.com/xYuwk5I.jpg) are used for removing the ice.\n",
        "-------------\n",
        "2 0 Nigger\n",
        "-------------\n",
        "2 0 Please someone post frozen Bagger 288\n",
        "-------------\n",
        "2 0 It's kind of cool there are trucks so big they need both a ladder and a staircase to get into them.\n",
        "-------------\n",
        "2 0 Eight miners are just out of frame hiding inside a tauntaun.\n",
        "-------------\n",
        "2 0 http://imgur.com/gallery/Fxv3Oh7\n",
        "-------------\n",
        "2 0 BRAZZERS.\n",
        "-------------\n",
        "2 0 It would take a god damn week just to warm that thing up.\n",
        "-------------\n",
        "2 0 Maybe /r/Bitcoin can use some of their mining equipment to heat this guy up!\n",
        "-------------\n",
        "2 0 Checkmate Jackie Chan\n",
        "-------------\n",
        "2 0 I've seen this picture before in a Duratray (the dump box supplier) brochure. If I recall it was either at Ekati or Diavik... In which case the truck could be either a Komatsu or a CAT... anyone care to comment?\n",
        "-------------\n",
        "2 0 The Texas snow has really hit hard!\n",
        "-------------\n",
        "2 0 I'm going to take a wild guess and say the diesel is gelled.\n",
        "-------------\n",
        "2 0 Do these trucks remind anyone else of Sly Cooper?\n",
        "-------------\n",
        "2 0 cool\n",
        "-------------\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can view the ordering visually by plotting the posterior mean and bounds, and sorting by the lower bound. In the plot below, notice that the left error-bar is sorted (as we suggested this is the best way to determine an ordering), so the means, indicated by dots, do not follow any strong pattern. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "r_order = order[::-1][-40:]\n",
      "plt.errorbar(posterior_mean[r_order], np.arange(len(r_order)),\n",
      "             xerr=std_err[r_order], xuplims=True, capsize=0, fmt=\"o\",\n",
      "             color=\"#7A68A6\")\n",
      "plt.xlim(0.3, 1)\n",
      "plt.yticks(np.arange(len(r_order) - 1, -1, -1), map(lambda x: x[:30].replace(\"\\n\", \"\"), ordered_contents));"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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FcePGUVBQQHFxMbt37y43mb9Ro0Z88cUXHDhwgAYNGrBv3z7ef/99FAoF48aN486dO+jp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/xz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\nnRwcHDhz5ky5Nffq1QsAJycntm7dCkB8fLzUGOjSpQvm5ublnrt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AAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1074f1b50>"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In the graphic above, you can see why sorting by mean would be sub-optimal."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Extension to Starred rating systems\n",
      "\n",
      "The above procedure works well for upvote-downvotes schemes, but what about systems that use star ratings, e.g. 5 star rating systems. Similar problems apply with simply taking the average: an item with two perfect ratings would beat an item with thousands of perfect ratings, but a single sub-perfect rating. \n",
      "\n",
      "\n",
      "We can consider the upvote-downvote problem above as binary: 0 is a downvote, 1 if an upvote. A $N$-star rating system can be seen as a more continuous version of above, and we can set $n$ stars rewarded is equivalent to rewarding $\\frac{n}{N}$. For example, in a 5-star system, a 2 star rating corresponds to 0.4. A perfect rating is a 1. We can use the same formula as before, but with $a,b$ defined differently:\n",
      "\n",
      "\n",
      "$$ \\frac{a}{a + b} - 1.65\\sqrt{ \\frac{ab}{ (a+b)^2(a + b +1 ) } }$$\n",
      "\n",
      "where \n",
      "\n",
      "\\begin{align}\n",
      "& a = 1 + S \\\\\\\\\n",
      "& b = 1 + N - S \\\\\\\\\n",
      "\\end{align}\n",
      "\n",
      "where $N$ is the number of users who rated, and $S$ is the sum of all the ratings, under the equivalence scheme mentioned above. "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "##### Example: Counting Github stars\n",
      "\n",
      "What is the average number of stars a Github repository has? How would you calculate this? There are over 6 million respositories, so there is more than enough data to invoke the Law of Large numbers. Let's start pulling some data. TODO"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Conclusion\n",
      "\n",
      "While the Law of Large Numbers is cool, it is only true so much as its name implies: with large sample sizes only. We have seen how our inference can be affected by not considering *how the data is shaped*. \n",
      "\n",
      "1. By (cheaply) drawing many samples from the posterior distributions, we can ensure that the Law of Large Number applies as we approximate expected values (which we will do in the next chapter).\n",
      "\n",
      "2. Bayesian inference understands that with small sample sizes, we can observe wild randomness. Our posterior distribution will reflect this by being more spread rather than tightly concentrated. Thus, our inference should be correctable.\n",
      "\n",
      "3. There are major implications of not considering the sample size, and trying to sort objects that are unstable leads to pathological orderings. The method provided above solves this problem.\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Appendix\n",
      "\n",
      "##### Derivation of sorting comments formula\n",
      "\n",
      "Basically what we are doing is using a Beta prior (with parameters $a=1, b=1$, which is a uniform distribution), and using a Binomial likelihood with observations $u, N = u+d$. This means our posterior is a Beta distribution with parameters $a' = 1 + u, b' = 1 + (N - u) = 1+d$. We then need to find the value, $x$, such that 0.05 probability is less than $x$. This is usually done by inverting the CDF ([Cumulative Distribution Function](http://en.wikipedia.org/wiki/Cumulative_Distribution_Function)), but the CDF of the beta, for integer parameters, is known but is a large sum [3]. \n",
      "\n",
      "We instead use a Normal approximation. The mean of the Beta is $\\mu = a'/(a'+b')$ and the variance is \n",
      "\n",
      "$$\\sigma^2 = \\frac{a'b'}{ (a' + b')^2(a'+b'+1) }$$\n",
      "\n",
      "Hence we solve the following equation for $x$ and have an approximate lower bound. \n",
      "\n",
      "$$ 0.05 = \\Phi\\left( \\frac{(x - \\mu)}{\\sigma}\\right) $$ \n",
      "\n",
      "$\\Phi$ being the [cumulative distribution for the normal distribution](http://en.wikipedia.org/wiki/Normal_distribution#Cumulative_distribution)\n",
      "\n",
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "##### Exercises\n",
      "\n",
      "1\\. How would you estimate the quantity $E\\left[ \\cos{X} \\right]$, where $X \\sim \\text{Exp}(4)$? What about $E\\left[ \\cos{X} | X \\lt 1\\right]$, i.e. the expected value *given* we know $X$ is less than 1? Would you need more samples than the original samples size to be equally accurate?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Enter code here\n",
      "import scipy.stats as stats\n",
      "exp = stats.expon(scale=4)\n",
      "N = 1e5\n",
      "X = exp.rvs(N)\n",
      "# ..."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "2\\. The following table was located in the paper \"Going for Three: Predicting the Likelihood of Field Goal Success with Logistic Regression\" [2]. The table ranks football field-goal kickers by their percent of non-misses. What mistake have the researchers made?\n",
      "\n",
      "-----\n",
      "\n",
      "####  Kicker Careers Ranked by Make Percentage\n",
      "<table><tbody><tr><th>Rank </th><th>Kicker </th><th>Make % </th><th>Number  of Kicks</th></tr><tr><td>1 </td><td>Garrett Hartley </td><td>87.7 </td><td>57</td></tr><tr><td>2</td><td> Matt Stover </td><td>86.8 </td><td>335</td></tr><tr><td>3 </td><td>Robbie Gould </td><td>86.2 </td><td>224</td></tr><tr><td>4 </td><td>Rob Bironas </td><td>86.1 </td><td>223</td></tr><tr><td>5</td><td> Shayne Graham </td><td>85.4 </td><td>254</td></tr><tr><td>\u2026 </td><td>\u2026 </td><td>\u2026</td><td> </td></tr><tr><td>51</td><td> Dave Rayner </td><td>72.2 </td><td>90</td></tr><tr><td>52</td><td> Nick Novak </td><td>71.9 </td><td>64</td></tr><tr><td>53 </td><td>Tim Seder </td><td>71.0 </td><td>62</td></tr><tr><td>54 </td><td>Jose Cortez </td><td>70.7</td><td> 75</td></tr><tr><td>55 </td><td>Wade Richey </td><td>66.1</td><td> 56</td></tr></tbody></table>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In August 2013, [a popular post](http://bpodgursky.wordpress.com/2013/08/21/average-income-per-programming-language/) on the average income per programmer of different languages was trending. Here's the summary chart: (reproduced without permission, cause when you lie with stats, you gunna get the hammer). What do you notice about the extremes?\n",
      "\n",
      "------\n",
      "\n",
      "#### Average household income by programming language\n",
      "\n",
      "<table >\n",
      " <tr><td>Language</td><td>Average Household Income ($)</td><td>Data Points</td></tr>\n",
      " <tr><td>Puppet</td><td>87,589.29</td><td>112</td></tr>\n",
      " <tr><td>Haskell</td><td>89,973.82</td><td>191</td></tr>\n",
      " <tr><td>PHP</td><td>94,031.19</td><td>978</td></tr>\n",
      " <tr><td>CoffeeScript</td><td>94,890.80</td><td>435</td></tr>\n",
      " <tr><td>VimL</td><td>94,967.11</td><td>532</td></tr>\n",
      " <tr><td>Shell</td><td>96,930.54</td><td>979</td></tr>\n",
      " <tr><td>Lua</td><td>96,930.69</td><td>101</td></tr>\n",
      " <tr><td>Erlang</td><td>97,306.55</td><td>168</td></tr>\n",
      " <tr><td>Clojure</td><td>97,500.00</td><td>269</td></tr>\n",
      " <tr><td>Python</td><td>97,578.87</td><td>2314</td></tr>\n",
      " <tr><td>JavaScript</td><td>97,598.75</td><td>3443</td></tr>\n",
      " <tr><td>Emacs Lisp</td><td>97,774.65</td><td>355</td></tr>\n",
      " <tr><td>C#</td><td>97,823.31</td><td>665</td></tr>\n",
      " <tr><td>Ruby</td><td>98,238.74</td><td>3242</td></tr>\n",
      " <tr><td>C++</td><td>99,147.93</td><td>845</td></tr>\n",
      " <tr><td>CSS</td><td>99,881.40</td><td>527</td></tr>\n",
      " <tr><td>Perl</td><td>100,295.45</td><td>990</td></tr>\n",
      " <tr><td>C</td><td>100,766.51</td><td>2120</td></tr>\n",
      " <tr><td>Go</td><td>101,158.01</td><td>231</td></tr>\n",
      " <tr><td>Scala</td><td>101,460.91</td><td>243</td></tr>\n",
      " <tr><td>ColdFusion</td><td>101,536.70</td><td>109</td></tr>\n",
      " <tr><td>Objective-C</td><td>101,801.60</td><td>562</td></tr>\n",
      " <tr><td>Groovy</td><td>102,650.86</td><td>116</td></tr>\n",
      " <tr><td>Java</td><td>103,179.39</td><td>1402</td></tr>\n",
      " <tr><td>XSLT</td><td>106,199.19</td><td>123</td></tr>\n",
      " <tr><td>ActionScript</td><td>108,119.47</td><td>113</td></tr>\n",
      "</table>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### References\n",
      "\n",
      "1. Wainer, Howard. *The Most Dangerous Equation*. American Scientist, Volume 95.\n",
      "2. Clarck, Torin K., Aaron W. Johnson, and Alexander J. Stimpson. \"Going for Three: Predicting the Likelihood of Field Goal Success with Logistic Regression.\" (2013): n. page. [Web](http://www.sloansportsconference.com/wp-content/uploads/2013/Going%20for%20Three%20Predicting%20the%20Likelihood%20of%20Field%20Goal%20Success%20with%20Logistic%20Regression.pdf). 20 Feb. 2013.\n",
      "3. http://en.wikipedia.org/wiki/Beta_function#Incomplete_beta_function"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.core.display import HTML\n",
      "\n",
      "\n",
      "def css_styling():\n",
      "    styles = open(\"../styles/custom.css\", \"r\").read()\n",
      "    return HTML(styles)\n",
      "css_styling()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
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        "<style>\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunss.otf');\n",
        "    }\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        font-weight: bold;\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunsx.otf');\n",
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        "        font-family: \"Computer Modern\";\n",
        "        font-style: oblique;\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunsi.otf');\n",
        "    }\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        font-weight: bold;\n",
        "        font-style: oblique;\n",
        "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunso.otf');\n",
        "    }\n",
        "    div.cell{\n",
        "        width:800px;\n",
        "        margin-left:16% !important;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    h1 {\n",
        "        font-family: Helvetica, serif;\n",
        "    }\n",
        "    h4{\n",
        "        margin-top:12px;\n",
        "        margin-bottom: 3px;\n",
        "       }\n",
        "    div.text_cell_render{\n",
        "        font-family: Computer Modern, \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n",
        "        line-height: 145%;\n",
        "        font-size: 130%;\n",
        "        width:800px;\n",
        "        margin-left:auto;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    .CodeMirror{\n",
        "            font-family: \"Source Code Pro\", source-code-pro,Consolas, monospace;\n",
        "    }\n",
        "    .prompt{\n",
        "        display: None;\n",
        "    }\n",
        "    .text_cell_render h5 {\n",
        "        font-weight: 300;\n",
        "        font-size: 22pt;\n",
        "        color: #4057A1;\n",
        "        font-style: italic;\n",
        "        margin-bottom: .5em;\n",
        "        margin-top: 0.5em;\n",
        "        display: block;\n",
        "    }\n",
        "    \n",
        "    .warning{\n",
        "        color: rgb( 240, 20, 20 )\n",
        "        }  \n",
        "</style>\n",
        "<script>\n",
        "    MathJax.Hub.Config({\n",
        "                        TeX: {\n",
        "                           extensions: [\"AMSmath.js\"]\n",
        "                           },\n",
        "                tex2jax: {\n",
        "                    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
        "                    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
        "                },\n",
        "                displayAlign: 'center', // Change this to 'center' to center equations.\n",
        "                \"HTML-CSS\": {\n",
        "                    styles: {'.MathJax_Display': {\"margin\": 4}}\n",
        "                }\n",
        "        });\n",
        "</script>\n"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 1,
       "text": [
        "<IPython.core.display.HTML at 0x10d46b550>"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<style>\n",
      "    img{\n",
      "        max-width:800px}\n",
      "</style>"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}
